Question

DIRECTION : In each of the following questions, a statement of Assertion is given and a corresponding statement of Reason is given just below it. Of the statements, given below, mark the correct answer as:
(a) Both assertion and reason are true and reason is the correct explanation of assertion.
(b) Both assertion and reason are true but reason is not the correct explanation of assertion.
(c) Assertion is true but reason is false.
(d) Assertion is false but reason is true.
(e) Both Assertion and Reason are false.

Assertion: When distance between two bodies is doubled and also mass of each body is also doubled, gravitational force between them remains the same.
Reason: According to Newton’s law of gravitation, force is directly proportional to mass of bodies and inversely proportional to square of distance between them. ​

Answer 1

Option A

Solution :

Accroding to Newton's law of gravitation

F = G(m1m2)/R2.

When m1 and m2

and r² all are doubled,

, i.e,

F= G(2m1)(2m2)/2R² = G( m1 m2)/r²

therefore F

remains the same.